Closing the gap in the purely elliptic generalized Davey-Stewartson system
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Publication:949681
DOI10.1016/j.na.2007.08.034zbMath1152.35492OpenAlexW2016814346MaRDI QIDQ949681
H. A. Erbay, Alp Eden, Gulcin M. Muslu
Publication date: 21 October 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.08.034
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
Related Items (6)
Numerical simulation of blow-up solutions for the generalized Davey–Stewartson system ⋮ Numerical study of blow-up to the purely elliptic generalized Davey-Stewartson system ⋮ The \(\frac{G'}{G}\) method and 1-soliton solution of the Davey-Stewartson equation ⋮ A collocation algorithm based on septic B-splines and bifurcation of traveling waves for Sawada-Kotera equation ⋮ Symmetry, full symmetry groups, and some exact solutions to a generalized Davey–Stewartson system ⋮ Analytical and numerical solutions to the Davey–Stewartson equation with power-law nonlinearity
Cites Work
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- Two-dimensional wave packets in an elastic solid with couple stresses
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Two remarks on a generalized Davey-Stewartson system
- On the evolution of packets of water waves
- On the initial value problem for the Davey-Stewartson systems
- Standing waves for a generalized Davey–Stewartson system
- Global existence and nonexistence results for a generalized Davey–Stewartson system
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